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Project detail
Duration: 01.01.2010 — 31.12.2010
Funding resources
Brno University of Technology - Vnitřní projekty VUT
- whole funder (2010-01-01 - 2010-12-31)
On the project
Výzkum bude soustředěn na analýzu dynamických systémů popsaných diferenciálními a diferenčními rovnicemi , s ohledem na jejich stabilitu a oscillaci . Konstrukce algioritmů řešení singulárních počátečních úloh a konstrukce diskrétních dynamických systémů (kvaziautomatů) užitím diferenciálních operátorů . V obecnější rovině budou studovány i systémy preferenčních relací, které jsou důležitým prostředkem v teorii rozhodování a to i z hlediska fuzzy struktur.
Mark
FEKT-S-10-3
Default language
Czech
People responsible
Archalousová Olga, Ing., Ph.D. - fellow researcherBaštincová Alena, Mgr., Ph.D. - fellow researcherBaštinec Jaromír, doc. RNDr., CSc. - fellow researcherBiba Vladislav, Mgr., Ph.D. - fellow researcherDiblík Josef, prof. RNDr., DrSc. - fellow researcherChvalina Jan, prof. RNDr., DrSc. - fellow researcherKlimek Jaroslav, Ing., Ph.D. - fellow researcherMorávková Blanka, Mgr., Ph.D. - fellow researcherNovák Michal, doc. RNDr., Ph.D. - fellow researcherŠmarda Zdeněk, doc. RNDr., CSc. - principal person responsible
Units
Department of Mathematics- internal (2010-01-01 - 2010-12-31)Faculty of Electrical Engineering and Communication- beneficiary (2010-01-01 - 2010-12-31)
Results
NOVÁK, M. Some properties of hyperstructures of transformation operators $T(\lambda,F,\varphi]$. In XXVIII International Colloquium on the Management of Educational Process aimed at current issues in science, education and creative thinking development. Brno: Univerzita obrany. Fakulta ekonomiky a managementu., 2010. p. 189-194. ISBN: 978-80-7231-722-6.Detail
CHVALINA, J.; BERÁNEK, J. Strukturální vlastnosti jistých grup prostorů řešení lineárních homogenních diferenciálních rovnic třetího řádu. In Acta mathematica 15. FPV UKF Nitra, 2012. s. 43-50. ISBN: 978-80-558-0135-3.Detail
ŠMARDA, Z.; KLIMEK, J. Fractional-order dynamical systems in control theory. In Proceedings of International Colloquium on the Management of Educational Process. Brno: UNOB Brno, 2010. p. 121-127. ISBN: 978-80-7231-733-2.Detail
CHVALINA, J.; MOUČKA, J.; NOVÁK, M. Multialgebras on vector spaces of smooth functions. In XXVIII International Colloquium on the Management of Educational Process aimed at current issues in science, education and creative thinking development. Brno: Univerzita obrany, Fakulta ekonomiky a managementu, 2010. p. 94-102. ISBN: 978-80-7231-722-6.Detail
DIBLÍK, J.; MORÁVKOVÁ, B. Representation of Solutions of Linear Discrete Systems with Constant Coefficients, a Single Delay and with Impulses. In XXVIII International Colloquium on the Management of Educational Process: proceedings of abstracts and electronic versions of reviewed contributions on CD-ROM. Brno: FEM UNOB, 2010. p. 1-8. ISBN: 978-80-7231-722-6.Detail
BIBA, V.; HLINĚNÁ, D.; KALINA, M.; KRÁĽ, P. I - fuzzy equivalences and I - partitions. In Zittau 17th Fuzzy Colloquium Conference Proceedings. Grossschönau: Druckerei Guter Dünnbier, 02779 Grossschönau, 2010. p. 89-96. ISBN: 978-3-9812655-4-5.Detail
DIBLÍK, J.; BAŠTINEC, J.; BAŠTINCOVÁ, A. Oscillation of solution of a linear third-order discrete delayed equation. In 10th International conference APLIMAT. Bratislava: FME STU, 2011. p. 199-205. ISBN: 978-80-89313-51-8.Detail
BAŠTINEC, J.; PIDDUBNA, G. Controllability of stationary linear systems with delay. In 10th International conference APLIMAT. Bratislava: FME STU, 2011. p. 207-216. ISBN: 978-80-89313-51-8.Detail
ŠMARDA, Z. Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations. Advances in Difference Equations, 2010, vol. 2010, no. 2010, p. 1-13. ISSN: 1687-1839.Detail
DIBLÍK, J.; ŠMARDA, Z.; KHUSAINOV, D.; GRYTSAY, I. Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, vol. 2010, no. Article ID 53908, p. 1-23. ISSN: 1026-0226.Detail
DIBLÍK, J.; ŠMARDA, Z.; BEREZANSKY, L. Positive Solutions of a Second-Order Delay Differential Equations with a Damping Term. Computers and Mathematics with Applications, 2010, vol. 62, no. 2, p. 1332-1342. ISSN: 0898-1221.Detail
DIBLÍK, J.; ŠMARDA, Z.; BAŠTINEC, J. Oscillation of solutions of a linear second-order discrete delayed equation. Advances in Difference Equations, 2010, vol. 2010, no. 2010, p. 1-11. ISSN: 1687-1839.Detail
NOVÁK, M. Potential of the "Ends lemma" to create ring-like hyperstructures from quasi-ordered (semi)groups. South Bohemia Mathematical Letters, 2010, roč. 17 (2009), č. 1, s. 39-50. ISSN: 1804-1450.Detail
DIBLÍK, J.; BEREZANSKY, L.; BRAVERMAN, E.; ROGOVCHENKO, Y. Recent advances in oscilation theory. International Journal of Differential Equations, 2010, vol. 2010, no. 1, p. 1-3. ISSN: 1687-9643.Detail
DIBLÍK, J.; BAŠTINEC, J.; KHUSAINOV, D.; BAŠTINCOVÁ, A. Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefificients. Boundary Value Problems, 2010, vol. 2010, no. 1, p. 1-20. ISSN: 1687-2762.Detail
DIBLÍK, J.; BEREZANSKY, L.; BAŠTINEC, J.; ŠMARDA, Z. On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays. Abstract and Applied Analysis, 2010, vol. 2010, no. Article ID 41789, p. 1-20. ISSN: 1085-3375.Detail
KŘEHLÍK, Š.; CHVALINA, J.; NOVÁK, M. Modelling of non-periodic impulses and the Mellin integral transformation. In XXX International Colloquium on the Management of Educational Process. Brno: Univerzita obrany, 2012. p. 1-4. ISBN: 978-80-7231-865-0.Detail
CHVALINA, J.; NOVOTNÝ, M.; KOPEČEK, O. Homomorphic Transformations: WHY and possible ways to HOW. First edition 2012. First edition 2012. Brno: Masaryk University, 2012. 360 p. ISBN: 978-80-210-5831-6.Detail
CHVALINA, J.; CHVALINOVÁ, L.; MOUČKA, J. Solvability of a certain group of the third-order linear differential operators. In Proc. XXX International Colloquium of the Management of Educational Process, Univ. of Defence Brno 2012. 1. Brno: Univerzita obrany, 2012. p. 69-78. ISBN: 978-80-7231-865-0.Detail
ŠMARDA, Z.; ARCHALOUSOVÁ, O. Comparison of Adomian decomposition method and Picard method. In Proceedings of International Colloquium on the management of Educational Process. Brno: UNOB Brno, 2010. p. 27-31. ISBN: 978-80-7231-733-2.Detail